In many implementations of transparent boundary conditions for resonance problems, spurious modes arise. We have developed a transparent boundary condition based on the pole condition that has one complex tuning parameter. Numerical experiments suggest that the artificial eigenvalues are due to badly converged solutions in the exterior domain and thus are strongly dependent on variations of this parameter while physical solutions are well converged and thus almost invariant. Hence it is possible to differentiate between spurious and physical solutions by doing a sensitivity analysis of the eigenvalues.

Date Published: 21 February 2011
PDF: 11 pages
Proc. SPIE 7933, Physics and Simulation of Optoelectronic Devices XIX, 79331B (21 February 2011); doi: 10.1117/12.874752

Published in SPIE Proceedings Vol. 7933:
Physics and Simulation of Optoelectronic Devices XIX
Bernd Witzigmann; Fritz Henneberger; Yasuhiko Arakawa; Alexandre Freundlich, Editor(s)